Solving Quadratic Equations: Completing the Square — Unit test

Question 1

The product of a non-zero rational number and an irrational number can always be written as

Revolt · Accepted Answer

a non-repeating, non-terminating decimal.

Question 2

Question 2

Revolt · Accepted Answer

direct variation; k =

Question 3

What is the value of y in the solution to the following system of linear equations?

Revolt · Accepted Answer

12

Question 4

Mischa wrote the quadratic equation 0=-x2+4x-7 in standard form. If a = -1, what is the value of c in her equation?

Revolt · Accepted Answer

c=-7

Question 5

Subtract 15mn – 22m +2n from 14mn – 12m +7n.

Question 6

Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?

Revolt · Accepted Answer

(negative 3 minus StartRoot 10 EndRoot comma negative 3 + StartRoot 10 EndRoot)

Question 7

What is the value of the discriminant of the quadratic equation −2x2 = −8x + 8, and what does its value mean about the number of real number solutions the equation has?

Revolt · Accepted Answer

The discriminant is equal to 0, which means the equation has one real number solution.

Question 8

Which equation has an a-value of –2, a b-value of 1, and a c-value of 3?

Revolt · Accepted Answer

0 = –2x2 + x + 3

Question 9

Which is the graph of a quadratic equation that has a negative discriminant?

Revolt · Accepted Answer

On a coordinate plane, a parabola opens up. It goes through (negative 4, 8), has a vertex at (negative 2, 4), and goes through (0, 8).

Question 10

Holly finds that (11m – 13n + 6mn) – (10m – 7n + 3mn) = m – 20n + 9mn. What error did Holly make?

Revolt · Accepted Answer

She only used the additive inverse of 10m when combining like terms.

Solving Quadratic Equations: Completing the Square — Unit test Answers

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